A robust two-level domain decomposition preconditioner for systems of PDEs

作者：Spillane Nicole^*; Dolean Victorita; Hauret Patrice; Nataf Frederic; Pechstein Clemens; Scheichl Robert

来源：Comptes Rendus Mathematique, 2011, 349(23-24): 1255-1259.

DOI：10.1016/j.crma.2011.10.021

Coarse spaces are instrumental in obtaining scalability for domain decomposition methods. However, it is known that most popular choices of coarse spaces perform rather weakly in presence of heterogeneities in the coefficients in the partial differential equations, especially for systems. Here, we introduce in a variational setting a new coarse space that is robust even when there are such heterogeneities. We achieve this by solving local generalized eigenvalue problems which isolate the terms responsible for slow convergence. We give a general theoretical result and then some numerical examples on a heterogeneous elasticity problem.

• 出版日期2011-12